Entropy of quantum limits

Jean Bourgain; Elon Lindenstrauss

doi:10.1007/s00220-002-0770-8

Entropy of quantum limits

Jean Bourgain^*
, Elon Lindenstrauss

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

39 Scopus citations

Abstract

In this paper we show that any measure arising as a weak* limit of microlocal lifts of eigenfunctions of the Laplacian on certain arithmetic manifolds have dimension at least 11/9, and in particular all ergodic components of this measure with respect to the geodesic flow have positive entropy.

Original language	English
Pages (from-to)	153-171
Number of pages	19
Journal	Communications in Mathematical Physics
Volume	233
Issue number	1
DOIs	https://doi.org/10.1007/s00220-002-0770-8
State	Published - Feb 2003
Externally published	Yes

Access to Document

10.1007/s00220-002-0770-8

Cite this

@article{9237f5d8719e43b1ae46f1da5b53ddac,

title = "Entropy of quantum limits",

abstract = "In this paper we show that any measure arising as a weak* limit of microlocal lifts of eigenfunctions of the Laplacian on certain arithmetic manifolds have dimension at least 11/9, and in particular all ergodic components of this measure with respect to the geodesic flow have positive entropy.",

author = "Jean Bourgain and Elon Lindenstrauss",

year = "2003",

month = feb,

doi = "10.1007/s00220-002-0770-8",

language = "אנגלית",

volume = "233",

pages = "153--171",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Entropy of quantum limits

AU - Bourgain, Jean

AU - Lindenstrauss, Elon

PY - 2003/2

Y1 - 2003/2

N2 - In this paper we show that any measure arising as a weak* limit of microlocal lifts of eigenfunctions of the Laplacian on certain arithmetic manifolds have dimension at least 11/9, and in particular all ergodic components of this measure with respect to the geodesic flow have positive entropy.

AB - In this paper we show that any measure arising as a weak* limit of microlocal lifts of eigenfunctions of the Laplacian on certain arithmetic manifolds have dimension at least 11/9, and in particular all ergodic components of this measure with respect to the geodesic flow have positive entropy.

UR - https://www.scopus.com/pages/publications/0037326877

U2 - 10.1007/s00220-002-0770-8

DO - 10.1007/s00220-002-0770-8

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0037326877

SN - 0010-3616

VL - 233

SP - 153

EP - 171

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 1

ER -

Entropy of quantum limits

Abstract

Access to Document

Other files and links

Fingerprint

Cite this